Steffensen-like method in Riemannian manifolds
In this paper, we present semilocal convergence of Steffensen-like method for approximating zeros of a vector field in Riemannian manifolds. We establish the convergence of Steffensen-like method under Lipschitz continuity condition on first order covariant derivative of a vector field. Finally, two examples are given to show the application of our theorem.
Authors
- P. K. Parida (ORCID: https://orcid.org/0000-0002-8658-7134)
- Chandresh Prasad (ORCID: https://orcid.org/0000-0002-0766-8228)
Institutions
- Central University of Jharkhand (IN)
Publication Details
- Journal
- Cubo
- Published
- 2024-10-01
- DOI
- https://doi.org/10.56754/0719-0646.2603.525
- Primary Topic
- Iterative Methods for Nonlinear Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00